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人気のある代数 >

20u^4-13u^2+2=0

解

20 u^{4} - 13 u^{2} + 2 = 0

解

u = \frac{2}{5}, u = - \frac{2}{5}, u = \frac{1}{2}, u = - \frac{1}{2}

+1

十進法表記

u = 0.63245 \dots, u = - 0.63245 \dots, u = 0.5, u = - 0.5

解答ステップ

20 u^{4} - 13 u^{2} + 2 = 0

equationを

v = u^{2}

と以下で書き換える:

v^{2} = u^{4}

20 v^{2} - 13 v + 2 = 0

解く

20 v^{2} - 13 v + 2 = 0 : v = \frac{2}{5}, v = \frac{1}{4}

v = \frac{2}{5}, v = \frac{1}{4}

再び

v = u^{2}

に置き換えて以下を解く:

u

解く

u^{2} = \frac{2}{5} : u = \frac{2}{5}, u = - \frac{2}{5}

解く

u^{2} = \frac{1}{4} : u = \frac{1}{2}, u = - \frac{1}{2}

解答は

u = \frac{2}{5}, u = - \frac{2}{5}, u = \frac{1}{2}, u = - \frac{1}{2}

グラフ

人気の例

x^3+2x^2+4x-8=0

x^{3} + 2 x^{2} + 4 x - 8 = 0

445 = 5 x^{3}

x^3+3x^2-2x+6=0

x^{3} + 3 x^{2} - 2 x + 6 = 0

2x^3-3x^2+32x+17=0

2 x^{3} - 3 x^{2} + 32 x + 17 = 0

x^{2} (x - 8) = 0